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Finding the Fourth Proportional to 15,174.50, 20,930.54 and 9,859.82

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Solution

The fourth proportional to 15,174.50, 20,930.54 and 9,859.82 is: 13,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,174.50 : 20,930.54 = 9,859.82 : x
  2. Step 2: Convert to fraction form
    15,174.50/20,930.54 = 9,859.82/x
  3. Step 3: Cross multiply
    15,174.50x = 20,930.54 × 9,859.82
  4. Step 4: Simplify right side
    15,174.50x = 206,371,356.90
  5. Step 5: Solve for x
    x = 206,371,356.90/15,174.50
  6. Step 6: Final answer
    x = 13,599.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.